$MathMaster logo$

MathMaster

Home
general
to make brine jose buys 1 kg of salt and pays 12 pesos if he buys 4 kg they charge him 48 pesos but for 100 pesos they sel

Question

To make brine, José buys 1 kg of salt and pays 12 pesos. If he buys 4 kg, they charge him 48 pesos, but for 100 pesos they sell him 9 kg. What is the constant of proportionality?

245

likes

1225 views

Answer to a math question To make brine, José buys 1 kg of salt and pays 12 pesos. If he buys 4 kg, they charge him 48 pesos, but for 100 pesos they sell him 9 kg. What is the constant of proportionality?

$Expert avatar$

4.8

110 Answers

Para encontrar la constante de proporcionalidad, podemos usar la relación entre la cantidad de sal comprada y el costo. La constante de proporcionalidad (k) está dada por la relación entre el costo (y) y la cantidad de sal (x), es decir, k = y/x. Dado: 1 kg de sal cuesta 12 pesos. 4 kg de sal cuestan 48 pesos. 9 kg de sal cuestan 100 pesos. Podemos usar la información proporcionada para encontrar la constante de proporcionalidad (k) estableciendo la ecuación de proporcionalidad: Por 1 kg: 12 = 1k Para 4 kg: 48 = 4k Para 9 kg: 100 = 9k Resolviendo para k en cada caso: Por 1 kg: k = 12/1 = 12 Para 4 kg: k = 48/4 = 12 Para 9 kg: k = 100/9 ≈ 11,11 La constante de proporcionalidad es de aproximadamente 12 pesos por kilogramo de sal.

Frequently asked questions (FAQs)

What is the value of log base 10 of 100 plus log base 10 of 1?

+

Math question: Simplify the expression √(18) + 2√(50) - √(32) - √(72).

+

What is the value of x when f(x) = log x is equal to f(x) = ln x?

+

New questions in Mathematics

Eight acts are scheduled to perform in a variety show how many different ways are there to schedule their appearances show your work

A book is between 400 and 450 pages. If we count them 2 at a time there is none left over, if we count them 5 at a time there is none left over and if we count them 7 at a time there are none left over, how many pages does the book have?

Find the sum of the first 41 terms of the progression that begins: 32, 24, 16, …

4. Show that if n is any integer, then n^2 3n 5 is an odd integer

78 percent to a decimal

The price per night of a suite at the Baglioni Hotel in Venice is 1896 euros, VAT included. The VAT in Italy is 25%. The hotel gets a return of 10% out of the price VAT included. b) What is the profit value made by the hotel for one

using the math and science known about the jefferson river bridge Find a truss in use and develop a load diagram. Use a load of 50 lb on each joint along the bottom of the truss for a truss that actrs as a bridge and along the top joints for a truss that acts as a roof

At the dance there are 150 boys the rest are girls. If 65% are girls what is the total amount in the room

List five numbers that belong to the 5 (mod 6) numbers. Alternate phrasing, list five numbers that satisfy equation x = 5 (mod 6)

Sections of steel tube having an inside diameter of 9 inches, are filled with concrete to support the main floor girder in a building. If these posts are 12 feet long and there are 18 of them, how many cubic yards of concrete are required for the job?

(X+2)(x+3)=4x+18

A buyer purchased a North Carolina home for $475,250. The seller allowed the buyer to assume his first small mortgage with a loan balance of $110,000. How much is the excise tax paid in the transaction? $951 $729.50 $950.50 $221 none of the above

A post office has three categories of letters: 60% are from businesses, 30% are individual mail, and the remaining 10% are government mail. 5% of the letters from businesses have address errors, 10% of the individual mail has address errors, while 1% of the government mail has address errors. If we receive a letter with an address error, what is the probability that it is individual mail?"

there are 500,000 bacteria at the end of a pin point. 1000 bacteria can make a person sick. then bacteria at the tip of a pin point can make 500 people sick. Also, many people do not know that bacteria can (reproduce). Let's say there are 5 bacteria and we leave it for 15 minutes. bacteria will multiply to 10. if left for up to 30 minutes, 20 bacteria will form. if left up to 45 minutes. bacteria will multiply up to 40. every 15 minutes the bacteria will double 2. if you start with five bacteria that reproduce every 15 minutes, how manu bacteria would you have after 12 hours ?

9n + 7(-8 + 4k) use k=2 and n=3

Consider a sample space S, and two events A and B such that P(A ∩ B) = 0.2, P(A ∪ B) = 0.6, P(B ∪ ̄A) = 0.8 (a) [0.5 points] Calculate P (A). (b) [0.5 points] Calculation P (B)

Let A denote the set of all people who were alive in 2010. Let B denote the set of all real numbers. Let f assign, to each person in A, their weight during the year 2010. Is f a function? Explain in complete sentences.